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Finding the Fourth Proportional to 51,046.86, 70,424.97 and 37,649.88

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Solution

The fourth proportional to 51,046.86, 70,424.97 and 37,649.88 is: 51,942.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,046.86 : 70,424.97 = 37,649.88 : x
  2. Step 2: Convert to fraction form
    51,046.86/70,424.97 = 37,649.88/x
  3. Step 3: Cross multiply
    51,046.86x = 70,424.97 × 37,649.88
  4. Step 4: Simplify right side
    51,046.86x = 2,651,491,669.50
  5. Step 5: Solve for x
    x = 2,651,491,669.50/51,046.86
  6. Step 6: Final answer
    x = 51,942.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.